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Finding the Third Proportional to 42 and 101

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Solution

The third proportional to 42 and 101 is: 242.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42 : 101 = 101 : x
  2. Step 2: Convert to fraction form
    42/101 = 101/x
  3. Step 3: Cross multiply
    42x = 101 × 101
  4. Step 4: Simplify right side
    42x = 10,201
  5. Step 5: Solve for x
    x = 10,201/42
  6. Step 6: Final answer
    x = 242.88

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.